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Finding the Fourth Proportional to 41.58, 56.64 and 41.46

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Solution

The fourth proportional to 41.58, 56.64 and 41.46 is: 56.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.58 : 56.64 = 41.46 : x
  2. Step 2: Convert to fraction form
    41.58/56.64 = 41.46/x
  3. Step 3: Cross multiply
    41.58x = 56.64 × 41.46
  4. Step 4: Simplify right side
    41.58x = 2,348.29
  5. Step 5: Solve for x
    x = 2,348.29/41.58
  6. Step 6: Final answer
    x = 56.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.